Question

Find the area of smaller part of the ellipse
y?
y
= 1 and the line +
= 1.
4 9
2 3
+२
x
+​

Answer 1

Answer:

The area of the smaller region by the ellipse 9x2+4y2=1 and the line 3x+2y=1represented by the shaded region BCAB 

∴Area BCAB=Area (OBCAO)−Area (OBAO)

=∫0321−9x2dx−∫032(1−3x)dx

=32[∫039−x2dx]−32∫03(3−x)dx

=32[2x9−x2+29sin